Prime Factorization of 3,402
Answer
3,402 = 2 × 35 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,402 | 2 | 1,701 |
| 2 | 1,701 | 3 | 567 |
| 3 | 567 | 3 | 189 |
| 4 | 189 | 3 | 63 |
| 5 | 63 | 3 | 21 |
| 6 | 21 | 3 | 7 |
| 7 | 7 | 7 | 1 |
Prime Factors
The prime factors of 3,402 are: 2, 3, 7
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Understanding Prime Factorization
The prime factorization of 3,402 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,402
- Break it down into its prime factors: 2, 3, 7
- Final expression: 2 × 35 × 7